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Finding the Fourth Proportional to 2,518.54, 3,776.59 and 763.23

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Solution

The fourth proportional to 2,518.54, 3,776.59 and 763.23 is: 1,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.54 : 3,776.59 = 763.23 : x
  2. Step 2: Convert to fraction form
    2,518.54/3,776.59 = 763.23/x
  3. Step 3: Cross multiply
    2,518.54x = 3,776.59 × 763.23
  4. Step 4: Simplify right side
    2,518.54x = 2,882,406.79
  5. Step 5: Solve for x
    x = 2,882,406.79/2,518.54
  6. Step 6: Final answer
    x = 1,144.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.